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Finding the Fourth Proportional to 288.23, 396.78 and 249.39

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Solution

The fourth proportional to 288.23, 396.78 and 249.39 is: 343.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.23 : 396.78 = 249.39 : x
  2. Step 2: Convert to fraction form
    288.23/396.78 = 249.39/x
  3. Step 3: Cross multiply
    288.23x = 396.78 × 249.39
  4. Step 4: Simplify right side
    288.23x = 98,952.96
  5. Step 5: Solve for x
    x = 98,952.96/288.23
  6. Step 6: Final answer
    x = 343.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.